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Finding the Third Proportional to 134,870 and 295,138

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Solution

The third proportional to 134,870 and 295,138 is: 645,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,870 : 295,138 = 295,138 : x
  2. Step 2: Convert to fraction form
    134,870/295,138 = 295,138/x
  3. Step 3: Cross multiply
    134,870x = 295,138 × 295,138
  4. Step 4: Simplify right side
    134,870x = 87,106,439,044
  5. Step 5: Solve for x
    x = 87,106,439,044/134,870
  6. Step 6: Final answer
    x = 645,854.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.